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Finding the Third Proportional to 140,151.75 and 217,428.75

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Solution

The third proportional to 140,151.75 and 217,428.75 is: 337,314.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,151.75 : 217,428.75 = 217,428.75 : x
  2. Step 2: Convert to fraction form
    140,151.75/217,428.75 = 217,428.75/x
  3. Step 3: Cross multiply
    140,151.75x = 217,428.75 × 217,428.75
  4. Step 4: Simplify right side
    140,151.75x = 47,275,261,326.56
  5. Step 5: Solve for x
    x = 47,275,261,326.56/140,151.75
  6. Step 6: Final answer
    x = 337,314.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.